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3 Questions around this concept.
A ray of light AO in a vacuum is incident on a glass slab at angle
Optical path-
It is defined as the distance travelled by light in a vacuum, in the same time in which it travels a
given path length in a medium.
Let light cover distance t in the medium having a refractive index as in Time T.
So where v=speed of light in the medium
and where c=speed of light in the vacuum.
So
So in the same time T distance covered by light in a vacuum is
So the relation between geometrical path (t) and optical path (l) is given as
the optical path is equal to
Consider the following two cases
Case I- A light cover distance
So the optical path in this case is
Case II- Now a slab of thickness t is placed between A and B
So distance travells in slab=t
and distance travells in air=
So the optical path in this case is
Now change in the optical path =
I.e due to insertion of the slab the optical path is increased by
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